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Finding the Fourth Proportional to 2,503.15, 3,454.16 and 1,383.98

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Solution

The fourth proportional to 2,503.15, 3,454.16 and 1,383.98 is: 1,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.15 : 3,454.16 = 1,383.98 : x
  2. Step 2: Convert to fraction form
    2,503.15/3,454.16 = 1,383.98/x
  3. Step 3: Cross multiply
    2,503.15x = 3,454.16 × 1,383.98
  4. Step 4: Simplify right side
    2,503.15x = 4,780,464.17
  5. Step 5: Solve for x
    x = 4,780,464.17/2,503.15
  6. Step 6: Final answer
    x = 1,909.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.